Precalculus Review - Symmetry

Identify the type of symmetry based on the graph:

i. symmetric with respect to the x-axis

ii. symmetric with respect to the y-axis

iii. symmetric with respect to the origin

• i only

• ii only

• iii only

• i, ii, and iii

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.BF.B.3

Identify the type of symmetry based on the graph:

i. symmetric with respect to the x-axis

ii. symmetric with respect to the y-axis

iii. symmetric with respect to the origin

• i only

• ii only

• iii only

• i, ii, and iii

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Identify the type of symmetry based on the graph:

i. symmetric with respect to the x-axis

ii. symmetric with respect to the y-axis

iii. symmetric with respect to the origin

• i only

• ii only

• iii only

• i, ii, and iii

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.BF.B.3

Which classification is given to a function that exhibits symmetry over the y-axis?

• odd

• even

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.TF.A.4

Which classification is given to a function that exhibits symmetry over the origin?

• odd

• even

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.TF.A.4

Use the symmetry tests to determine the type of symmetry for:  $y=3x^8-7x^2+2$  
i. symmetric with respect to the x-axis
ii. symmetric with respect to the y-axis
iii. symmetric with respect to the origin

• i only

• ii only

• iii only

• i, ii, and iii

Tags

CCSS.HSF.BF.B.3

Use the symmetry tests to determine the type of symmetry for:  $x=y^2-4$  
i. symmetric with respect to the x-axis
ii. symmetric with respect to the y-axis
iii. symmetric with respect to the origin

• i only

• ii only

• iii only

• i, ii, and iii

Tags

CCSS.HSA.REI.D.10

Use the symmetry tests to determine the type of symmetry for:  $x^2+y^2=9$  
i. symmetric with respect to the x-axis
ii. symmetric with respect to the y-axis
iii. symmetric with respect to the origin

• i only

• ii only

• iii only

• i, ii, and iii

Tags

CCSS.HSG.GPE.A.1

Use the symmetry tests to determine tif the given function is odd, even, or neither:  $f\left(x\right)=x^5+1$  

• odd

• even

• neither

Tags

CCSS.HSF.BF.B.3

Use the symmetry tests to determine tif the given function is odd, even, or neither:  $f\left(x\right)=\frac{x^4-2}{\left|x\right|}$  

• odd

• even

• neither

Tags

CCSS.HSF.BF.B.3